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Finding the Fourth Proportional to 10,521.56, 15,778.64 and 3,499.68

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Solution

The fourth proportional to 10,521.56, 15,778.64 and 3,499.68 is: 5,248.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,521.56 : 15,778.64 = 3,499.68 : x
  2. Step 2: Convert to fraction form
    10,521.56/15,778.64 = 3,499.68/x
  3. Step 3: Cross multiply
    10,521.56x = 15,778.64 × 3,499.68
  4. Step 4: Simplify right side
    10,521.56x = 55,220,190.84
  5. Step 5: Solve for x
    x = 55,220,190.84/10,521.56
  6. Step 6: Final answer
    x = 5,248.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.